Simplify 2/(5a^2)+1/(3ab)

$\frac{2}{5 a^{2}} + \frac{1}{3 a b}$

To write $\frac{2}{5 a^{2}}$ as a fraction with a common denominator, multiply by $\frac{3 b}{3 b}$ .

$\frac{2}{5 a^{2}} \cdot \frac{3 b}{3 b} + \frac{1}{3 a b}$

To write $\frac{1}{3 a b}$ as a fraction with a common denominator, multiply by $\frac{5 a}{5 a}$ .

$\frac{2}{5 a^{2}} \cdot \frac{3 b}{3 b} + \frac{1}{3 a b} \cdot \frac{5 a}{5 a}$

Write each expression with a common denominator of $15 b a^{2}$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{5 a^{2}}$ by $\frac{3 b}{3 b}$ .

$\frac{2 (3 b)}{5 a^{2} (3 b)} + \frac{1}{3 a b} \cdot \frac{5 a}{5 a}$

Multiply $3$ by $5$ .

$\frac{2 (3 b)}{15 a^{2} b} + \frac{1}{3 a b} \cdot \frac{5 a}{5 a}$

Multiply $\frac{1}{3 a b}$ by $\frac{5 a}{5 a}$ .

$\frac{2 (3 b)}{15 a^{2} b} + \frac{5 a}{3 a b (5 a)}$

Multiply $5$ by $3$ .

$\frac{2 (3 b)}{15 a^{2} b} + \frac{5 a}{15 a b a}$

Raise $a$ to the power of $1$ .

$\frac{2 (3 b)}{15 a^{2} b} + \frac{5 a}{15 (a^{1} a) b}$

Raise $a$ to the power of $1$ .

$\frac{2 (3 b)}{15 a^{2} b} + \frac{5 a}{15 (a^{1} a^{1}) b}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2 (3 b)}{15 a^{2} b} + \frac{5 a}{15 a^{1 + 1} b}$

Add $1$ and $1$ .

$\frac{2 (3 b)}{15 a^{2} b} + \frac{5 a}{15 a^{2} b}$

Combine the numerators over the common denominator.

$\frac{2 (3 b) + 5 a}{15 a^{2} b}$

Multiply $2$ by $3$ .

$\frac{6 b + 5 a}{15 a^{2} b}$